Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method

被引:12
|
作者
Golbabai, A. [1 ]
Keramati, B. [1 ]
机构
[1] Iran Univ Sci & Technol, Dept Appl Math, Fac Sci, Tehran 16844, Iran
关键词
D O I
10.1016/j.chaos.2007.06.120
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we present it modification to homotopy perturbation method for solving some non-linear Fredholm integral equations of the first kind. Solved problems reveal that the proposed method is very effective and simple and ill sonic cases it gives the exact solution rather than the approximated one. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2316 / 2321
页数:6
相关论文
共 50 条
  • [31] SOLVING OF THE FRACTIONAL NON-LINEAR AND LINEAR SCHRODINGER EQUATIONS BY HOMOTOPY PERTURBATION METHOD
    Baleanu, Dumitru
    Golmankhaneh, Alireza K.
    Golmankhaneh, Ali K.
    ROMANIAN JOURNAL OF PHYSICS, 2009, 54 (9-10): : 823 - 832
  • [32] A METHOD FOR NUMERICAL SOLUTION OF NON-LINEAR EQUATIONS OF FREDHOLM TYPE
    WACKER, H
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1969, 49 (11): : 691 - &
  • [33] EFFICIENT HOMOTOPY PERTURBATION METHOD FOR FRACTIONAL NON-LINEAR EQUATIONS USING SUMUDU TRANSFORM
    Zhang, Ming-Feng
    Liu, Yan-Qin
    Zhou, Xiao-Shuang
    THERMAL SCIENCE, 2015, 19 (04): : 1167 - 1171
  • [34] MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRAL EQUATIONS
    Saberi-Nadjafi, Jafar
    Tamamgar, Mohamadreza
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (24): : 4741 - 4746
  • [35] Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method
    Babolian, E
    Goghary, HS
    Abbasbandy, S
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (03) : 733 - 744
  • [36] Solution of Non-Linear RLC Circuit Equation Using the Homotopy Perturbation Transform Method
    Thunibat, Reem G.
    Jaradat, Emad K.
    Khalifeh, Jamil M.
    JORDAN JOURNAL OF PHYSICS, 2021, 14 (01): : 89 - 100
  • [37] On existence of unique solution to non-linear integral equations of the second kind
    Abd El-Shafy, A
    Elkady, M
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (02) : 801 - 809
  • [38] Convergence Analysis for the Homotopy Perturbation Method for a Linear System of Mixed Volterra-Fredholm Integral Equations
    Hasan, Pakhshan Mohammedameen
    Sulaiman, Nejmaddin Abdulla
    BAGHDAD SCIENCE JOURNAL, 2020, 17 (03) : 1010 - 1018
  • [39] Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet
    Tahami, M.
    Hemmat, A. Askari
    Yousefi, S. A.
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2016, 14 (01)
  • [40] NON-LINEAR EQUATIONS OF FIRST KIND
    TIKHONOV, AN
    DOKLADY AKADEMII NAUK SSSR, 1965, 161 (05): : 1023 - &